

A272876


Decimal expansion of the imaginary part of the infinite nested power (1+(1+(1+...)^i)^i)^i, with i being the imaginary unit.


3



4, 0, 7, 5, 6, 3, 9, 3, 0, 5, 4, 5, 6, 2, 1, 8, 4, 4, 7, 3, 9, 6, 6, 3, 2, 4, 3, 3, 9, 4, 1, 5, 2, 0, 8, 8, 6, 4, 0, 6, 2, 7, 9, 9, 2, 8, 6, 6, 7, 7, 5, 1, 0, 3, 0, 4, 8, 7, 4, 8, 3, 5, 6, 7, 7, 0, 4, 0, 2, 1, 5, 5, 3, 9, 4, 8, 2, 2, 1, 5, 4, 2, 1, 4, 9, 1, 3, 9, 2, 7, 4, 8, 9, 9, 2, 3, 5, 0, 4, 0, 4, 8, 5, 8, 0
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OFFSET

0,1


COMMENTS

The real part and the modulus of this complex constant are in A272875 and A272877, respectively. For more information, see A272875.


LINKS

Stanislav Sykora, Table of n, a(n) for n = 0..2000


EXAMPLE

0.40756393054562184473966324339415208864062799286677510304874835...


PROG

(PARI) \\ f(x) computes (x+(x+...)^i)^i, provided that it converges:
f(x)={my(z=1.0, zlast=0.0, eps=10.0^(1default(realprecision))); while(abs(zzlast)>eps, zlast=z; z=(x+z)^I); return(z)}
\\ To compute this constant, use:
z0 = f(1); imag(z0)


CROSSREFS

Cf. A156590, A272875, A272877.
Sequence in context: A157698 A251967 A057641 * A133930 A077892 A117543
Adjacent sequences: A272873 A272874 A272875 * A272877 A272878 A272879


KEYWORD

nonn,cons


AUTHOR

Stanislav Sykora, May 15 2016


STATUS

approved



